Final answer:
The statement about the range of the function y=sinx-2 being -3 ∈ y ∈ -1 is true, as subtracting 2 from the sine function shifts the graph down by 2 units.
Step-by-step explanation:
The statement about the range of the function y=sinx-2 being -3 ∈ y ∈ -1 relates to the transformation of the sine function. The standard sine function, y=sin(x), oscillates between +1 and -1. When you subtract 2 from the sine function, it shifts the entire graph down by 2 units. This means that the new range of the function becomes -3 ∈ y ∈ -1, making the given statement true.
Additionally, it's important to note that a vector can indeed form the shape of a right angle triangle with its x and y components, supporting the concept that every 2-D vector can be expressed as the product of its x and y-components.
When considering the motion described as a sine function, such as a wave oscillation, we know that the y-position of a medium in wave motion oscillates between +A and -A, where A is the amplitude of the wave.